Let a, b, c be positive integers such that a is a multiple of c and a2 + b2 is not a multiple of c. Prove that b is not a multiple of c.
Let a, b, c be positive integers such that a is a multiple of c and a2 + b2 is not a multiple of c. Prove that b is not a multiple of c.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 56E
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Let a, b, c be positive integers such that a is a multiple of c and a2 + b2 is not a multiple of c. Prove that b is not a multiple of c.
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